Straightening out planar poly-line drawings
Computational Geometry
2014-04-25 v2 Discrete Mathematics
Data Structures and Algorithms
Abstract
We show that any -monotone poly-line drawing can be straightened out while maintaining -coordinates and height. The width may increase much, but we also show that on some graphs exponential width is required if we do not want to increase the height. Likewise -monotonicity is required: there are poly-line drawings (not -monotone) that cannot be straightened out while maintaining the height. We give some applications of our result.
Cite
@article{arxiv.1404.5892,
title = {Straightening out planar poly-line drawings},
author = {Therese Biedl},
journal= {arXiv preprint arXiv:1404.5892},
year = {2014}
}
Comments
The main result turns out to be known (Pach & Toth, J. Graph Theory 2004, http://onlinelibrary.wiley.com/doi/10.1002/jgt.10168/pdf )